Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2011MathematicsQuadratic EquationActual

If ( , ) are the roots of the equation ( ax ^2+ bx + c =0 ), then the roots of the equation ( ax ^2+ bx ( x +1)+ c ( x +1)^2=0 ) are

Options

  1. A( -1, -1 )
  2. B( +1, +1 )
  3. C( -1 , -1 )
  4. D( 1- , 1- )

Correct answer

D. ( 1- , 1- )

Step-by-step solution

The second equation can be rewritten as (a ( x x+1 )^2+b ( x x+1 )+c=0 ) and hence its roots correspond to ( x x +1 = ) and ( x x+1 = ). Hence (x= 1- ) and ( 1- ).

Practice Quadratic Equation on Quantrex Academy →

More from Quadratic Equation

Roots of the equation x^2+b x-c=0(b, c 0) are 2024Rational roots of the equation 2 x^4+x^3-11 x^2+x+2=0 are 2024If 15^ and 30^ are the roots of the equation x^2+p x+q=0 , then p q= 2024The roots of the given equation (p-q) x^2+(q-r) x+(r-p)=0 are : 2023Solve 5 x^2+x+ 5 =0 2023The roots of the given equation (p-q) x^2+(q-r) x+(r-p)=0 are : 2023The range of the function f(x)= 3 x^2-4 x+5 is 2023Solution of 2^x+2^ |x| 2 2 is 2023 Full Quadratic Equation list All BITSAT PYQs